On the reconstruction of medium conductivity by integral equation method based on the Levi function
DOI10.3934/ipi.2024008zbMATH Open1547.35779MaRDI QIDQ6593066
Publication date: 26 August 2024
Published in: Inverse Problems and Imaging (Search for Journal in Brave)
inverse problemconductivityintegral equationregularizationconditional stabilitynumericsLevi function
Numerical methods for integral equations (65R20) Inverse problems for PDEs (35R30) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Inverse acoustic and electromagnetic scattering theory.
- An inverse source problem for parabolic equations with local measurements
- An integral equation method for the numerical solution of a Dirichlet problem for second-order elliptic equations with variable coefficients
- On the numerical solution of a Cauchy problem for the Laplace equation via a direct integral equation approach
- A quasi Tikhonov regularization for a two-dimensional backward heat problem by a fundamental solution
- An Inverse Problem for the Steady State Diffusion Equation
- An inverse source problem in potential analysis
- Logarithmic stability estimates for an inverse source problem from interior measurements
- A continuous dependence result in the analytic continuation problem
- Electrical impedance tomography
- Conditional stability for a single interior measurement
- On the Convergence of the Harmonic $B_z$ Algorithm in Magnetic Resonance Electrical Impedance Tomography
- Analysis of united boundary-domain integro-differential and integral equations for a mixed BVP with variable coefficient
- Inverse conductivity Problem with Internal Data
- Linear integral equations
- Inverse problems for partial differential equations
- Convergence Analysis of the Harmonic \(\boldsymbol{B_{{z}}}\) Algorithm with Single Injection Current in MREIT
This page was built for publication: On the reconstruction of medium conductivity by integral equation method based on the Levi function